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  • 1. Helsing, Johan
    et al.
    Wadbro, Eddie
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Scientific Computing. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Numerical Analysis.
    Laplace's equation and the Dirichlet-Neumann map: a new mode for Mikhlin's method2005In: Journal of Computational Physics, ISSN 0021-9991, E-ISSN 1090-2716, Vol. 202, p. 391-410Article in journal (Refereed)
  • 2.
    Wadbro, Eddie
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Scientific Computing. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Numerical Analysis.
    Microwave tomographic imaging as a sequence of topology optimization problems2010In: Optimization and Engineering, ISSN 1389-4420, E-ISSN 1573-2924, Vol. 11, p. 597-610Article in journal (Refereed)
  • 3.
    Wadbro, Eddie
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Scientific Computing. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Numerical Analysis.
    On the far-field properties of an acoustic horn2006Report (Other academic)
  • 4.
    Wadbro, Eddie
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Scientific Computing. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Numerical Analysis.
    Topology optimization for acoustic wave propagation problems2006Licentiate thesis, comprehensive summary (Other academic)
    Abstract [en]

    The aim of this study is to develop numerical techniques for the analysis and optimization of acoustic horns for time harmonic wave propagation. An acoustic horn may be viewed as an impedance transformer, designed to give an impedance matching between the feeding waveguide and the surrounding air. When modifying the shape of the horn, the quality of this impedance matching changes, as well as the angular distribution of the radiated wave in the far field (the directivity). The dimensions of the horns considered are in the order of the wavelength. In this wavelength region the wave physics is complicated, and it is hard to apply elementary physical reasoning to enhance the performance of the horn. Here, topology optimization is applied to improve the efficiency and to gain control over the directivity of the acoustic horn.

  • 5.
    Wadbro, Eddie
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Scientific Computing. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Numerical Analysis.
    Topology Optimization for Wave Propagation Problems2009Doctoral thesis, comprehensive summary (Other academic)
    Abstract [en]

    This thesis considers topology optimization methods for wave propagation problems. These methods make no a priori assumptions on topological properties such as the number of bodies involved in the design. The performed studies address problems from two different areas, acoustic wave propagation and microwave tomography. The final study discusses implementation aspects concerning the efficient solution of large scale material distribution problems.

    Acoustic horns may be viewed as impedance transformers between the feeding waveguide and the surrounding air. Modifying the shape of an acoustic horn changes the quality of the impedance match as well as the angular distribution of the radiated waves in the far field (the directivity). This thesis presents strategies to optimize acoustic devices with respect to efficiency and directivity simultaneously. The resulting devices exhibit desired far field properties and high efficiency throughout wide frequency ranges.

    In microwave tomography, microwaves illuminate an object, and measurements of the scattered electrical field are used to depict the object's conductive and dielectric properties. Microwave tomography has unique features for medical applications. However, the reconstruction problem is difficult due to strongly diffracting waves in combination with large dielectric contrasts. This thesis demonstrates a new method to perform the reconstruction using techniques originally developed for topology optimization of linearly elastic structures. Numerical experiments illustrate the method and produce good estimates of dielectric properties corresponding to biological objects.

    Material distribution problems are typically cast as large (for high resolutions) nonlinear programming problems over coefficients in partial differential equations. Here, the computational power of a modern graphics processing unit (GPU) efficiently solves a pixel based material distribution problem with over 4 million unknowns using a gradient based optimality criteria method.

    List of papers
    1. Topology optimization of an acoustic horn
    Open this publication in new window or tab >>Topology optimization of an acoustic horn
    2006 (English)In: Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, E-ISSN 1879-2138, Vol. 196, p. 420-436Article in journal (Refereed) Published
    National Category
    Computational Mathematics Computer Sciences
    Identifiers
    urn:nbn:se:uu:diva-83132 (URN)10.1016/j.cma.2006.05.005 (DOI)000242035000031 ()
    Projects
    Design Optimization
    Available from: 2007-01-31 Created: 2007-01-31 Last updated: 2018-01-13Bibliographically approved
    2. Topology optimization of wave transducers
    Open this publication in new window or tab >>Topology optimization of wave transducers
    2006 (English)In: Topological Design Optimization of Structures, Machines and Materials: Status and Perspectives, Dordrecht, The Netherlands: Springer, 2006, p. 301-310Conference paper, Published paper (Refereed)
    Place, publisher, year, edition, pages
    Dordrecht, The Netherlands: Springer, 2006
    Series
    Solid Mechanics and its Applications ; 137
    National Category
    Computational Mathematics Computer Sciences
    Identifiers
    urn:nbn:se:uu:diva-80778 (URN)10.1007/1-4020-4752-5_30 (DOI)000237578800030 ()1-4020-4729-0 (ISBN)
    Projects
    Design Optimization
    Available from: 2007-01-31 Created: 2007-01-31 Last updated: 2018-01-13Bibliographically approved
    3. On the far-field properties of an acoustic horn
    Open this publication in new window or tab >>On the far-field properties of an acoustic horn
    2006 (English)Report (Other academic)
    Series
    Technical report / Department of Information Technology, Uppsala University, ISSN 1404-3203 ; 2006-042
    National Category
    Computational Mathematics
    Identifiers
    urn:nbn:se:uu:diva-82158 (URN)
    Projects
    Design Optimization
    Available from: 2008-02-19 Created: 2008-02-19 Last updated: 2011-11-18Bibliographically approved
    4. Shape and topology optimization of an acoustic horn-lens combination
    Open this publication in new window or tab >>Shape and topology optimization of an acoustic horn-lens combination
    2010 (English)In: Journal of Computational and Applied Mathematics, ISSN 0377-0427, E-ISSN 1879-1778, Vol. 234, p. 1781-1787Article in journal (Refereed) Published
    National Category
    Computational Mathematics Computer Sciences
    Identifiers
    urn:nbn:se:uu:diva-98374 (URN)10.1016/j.cam.2009.08.028 (DOI)000278570900022 ()
    Projects
    Design Optimization
    Available from: 2009-02-20 Created: 2009-02-20 Last updated: 2018-01-13Bibliographically approved
    5. Microwave tomography using topology optimization techniques
    Open this publication in new window or tab >>Microwave tomography using topology optimization techniques
    2008 (English)In: SIAM Journal on Scientific Computing, ISSN 1064-8275, E-ISSN 1095-7197, Vol. 30, p. 1613-1633Article in journal (Refereed) Published
    National Category
    Computational Mathematics Computer Sciences
    Identifiers
    urn:nbn:se:uu:diva-16104 (URN)10.1137/070679879 (DOI)000255500500024 ()
    Projects
    Design Optimization
    Available from: 2008-04-22 Created: 2008-04-22 Last updated: 2018-01-12Bibliographically approved
    6. High contrast microwave tomography using topology optimization techniques
    Open this publication in new window or tab >>High contrast microwave tomography using topology optimization techniques
    2010 (English)In: Journal of Computational and Applied Mathematics, ISSN 0377-0427, E-ISSN 1879-1778, Vol. 234, p. 1773-1780Article in journal (Refereed) Published
    National Category
    Computational Mathematics Computer Sciences
    Identifiers
    urn:nbn:se:uu:diva-98380 (URN)10.1016/j.cam.2009.08.027 (DOI)000278570900021 ()
    Projects
    Design Optimization
    Available from: 2009-02-20 Created: 2009-02-20 Last updated: 2018-01-13Bibliographically approved
    7. Microwave tomographic imaging as a sequence of topology optimization problems
    Open this publication in new window or tab >>Microwave tomographic imaging as a sequence of topology optimization problems
    2010 (English)In: Optimization and Engineering, ISSN 1389-4420, E-ISSN 1573-2924, Vol. 11, p. 597-610Article in journal (Refereed) Published
    National Category
    Computational Mathematics Computer Sciences
    Identifiers
    urn:nbn:se:uu:diva-87936 (URN)10.1007/s11081-008-9075-x (DOI)000284851600006 ()
    Projects
    Design Optimization
    Available from: 2009-01-15 Created: 2009-01-15 Last updated: 2018-01-13Bibliographically approved
    8. Megapixel topology optimization on a graphics processing unit
    Open this publication in new window or tab >>Megapixel topology optimization on a graphics processing unit
    2009 (English)In: SIAM Review, ISSN 0036-1445, E-ISSN 1095-7200, Vol. 51, p. 707-721Article in journal (Refereed) Published
    National Category
    Computer Sciences Computational Mathematics
    Identifiers
    urn:nbn:se:uu:diva-98381 (URN)10.1137/070699822 (DOI)000271983500004 ()
    Projects
    Design Optimization
    Available from: 2009-02-20 Created: 2009-02-20 Last updated: 2018-01-13Bibliographically approved
  • 6.
    Wadbro, Eddie
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Scientific Computing. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Numerical Analysis.
    Berggren, Martin
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Scientific Computing. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Numerical Analysis.
    High contrast microwave tomography using topology optimization techniques2007In: Proc. 8th International Conference on Mathematical and Numerical Aspects of Waves: WAVES 2007, Reading, UK: Department of Mathematics, University of Reading , 2007, p. 448-450Conference paper (Other academic)
  • 7.
    Wadbro, Eddie
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Scientific Computing. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Numerical Analysis.
    Berggren, Martin
    High contrast microwave tomography using topology optimization techniques2010In: Journal of Computational and Applied Mathematics, ISSN 0377-0427, E-ISSN 1879-1778, Vol. 234, p. 1773-1780Article in journal (Refereed)
  • 8.
    Wadbro, Eddie
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Scientific Computing. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Numerical Analysis.
    Berggren, Martin
    Megapixel topology optimization on a graphics processing unit2009In: SIAM Review, ISSN 0036-1445, E-ISSN 1095-7200, Vol. 51, p. 707-721Article in journal (Refereed)
  • 9.
    Wadbro, Eddie
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Scientific Computing. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Numerical Analysis.
    Berggren, Martin
    Microwave tomography using topology optimization techniques2008In: SIAM Journal on Scientific Computing, ISSN 1064-8275, E-ISSN 1095-7197, Vol. 30, p. 1613-1633Article in journal (Refereed)
  • 10.
    Wadbro, Eddie
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Scientific Computing. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Numerical Analysis.
    Berggren, Martin
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Scientific Computing. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Numerical Analysis.
    Topology optimization of an acoustic horn2006In: Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, E-ISSN 1879-2138, Vol. 196, p. 420-436Article in journal (Refereed)
  • 11.
    Wadbro, Eddie
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Scientific Computing. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Numerical Analysis.
    Berggren, Martin
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Scientific Computing. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Numerical Analysis.
    Topology optimization of wave transducers2006In: Topological Design Optimization of Structures, Machines and Materials: Status and Perspectives, Dordrecht, The Netherlands: Springer, 2006, p. 301-310Conference paper (Refereed)
  • 12.
    Wadbro, Eddie
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Scientific Computing. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Numerical Analysis.
    Udawalpola, Rajitha
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Scientific Computing. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Numerical Analysis.
    Berggren, Martin
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Scientific Computing. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Numerical Analysis.
    Shape and topology optimization of an acoustic horn-lens combination2007In: Proc. 8th International Conference on Mathematical and Numerical Aspects of Waves: WAVES 2007, Reading, UK: Department of Mathematics, University of Reading , 2007, p. 451-453Conference paper (Other academic)
  • 13.
    Wadbro, Eddie
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Scientific Computing. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Numerical Analysis.
    Udawalpola, Rajitha
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Scientific Computing. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Numerical Analysis.
    Berggren, Martin
    Shape and topology optimization of an acoustic horn-lens combination2010In: Journal of Computational and Applied Mathematics, ISSN 0377-0427, E-ISSN 1879-1778, Vol. 234, p. 1781-1787Article in journal (Refereed)
1 - 13 of 13
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